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Chapter 4: Q. 1 TB (page 361)
If then is g an antiderivative of h or is h an antiderivative of g?
If then g is an antiderivative of h.
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For each function f and interval [a, b] in Exercises 27鈥�33, use the given approximation method to approximate the signed area between the graph of f and the x-axis on [a, b]. Determine whether each of your approximations is likely to be an over-approximation or an under-approximation of the actual area.
left sum with
a) n = 3 b) n = 6
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess- and- check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating. (Hint for Exercise 54: ).
Find the sum or quantity without completely expanding or calculating any sums.
Givenand, find.
Approximate the same area as earlier but this time with eight rectangles is this over approximation or under approximation of the exact area under the graph
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